Name
Abstract | ||
|---|---|---|
Defining a relation between granules and computing ever-changing granules are two important issues in granular computing. In view of this, this work proposes a partial order relation and lattice computing, respectively, for dealing with the aforementioned issues. A fuzzy lattice granular computing classification algorithm, or FL-GrCCA for short, is proposed here in the framework of fuzzy lattices. Algorithm FL-GrCCA computes a fuzzy inclusion relation between granules by using an inclusion measure function based on both a nonlinear positive valuation function, namely arctan, and an isomorphic mapping between lattices. Changeable classification granules are computed with a dilation operator using, conditionally, both the fuzzy inclusion relation between two granules and the size of a dilated granule. We compare the performance of FL-GrCCA with the performance of popular classification algorithms, including support vector machines (SVMs) and the fuzzy lattice reasoning (FLR) classifier, for a number of two-class problems and multi-class problems. Our computational experiments showed that FL-GrCCA can both speed up training and achieve comparable generalization performance. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.camwa.2010.10.040 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
granular computing classification algorithm,lattice computing,inclusion measure,positive valuation function,granule,comparable generalization performance,algorithm fl-grcca,fuzzy lattice reasoning,fuzzy inclusion relation,partial order relation,granular computing,changeable classification granule,fuzzy lattice,partial order,computer experiment,support vector machine | Mathematical optimization,Fuzzy classification,Fuzzy set operations,Mathematical analysis,Fuzzy logic,Support vector machine,Fuzzy mathematics,Algorithm,Granular computing,Statistical classification,Fuzzy number,Mathematics | Journal |
Volume | Issue | ISSN |
61 | 1 | Computers and Mathematics with Applications |
Citations | PageRank | References |
15 | 0.68 | 18 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hongbing Liu | 1 | 59 | 8.74 |
| Shengwu Xiong | 2 | 189 | 53.59 |
| Zhixiang Fang | 3 | 88 | 17.90 |